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The determination and mathematical descriptions of the difference between the imaging radiation measurement and the non-imaging radiation measurement which is of maturity are necessary for extending the radiation measurement from non-imaging technology to imaging technology. In this paper, the mathematical descriptions of the imaging and non-imaging radiation measurement are deduced based on the basic equations of radiation measurement and the correspondence between the infinitesimal planes of the target and sensor array. Because the imaging plane does not change the radiation transfer between the target and sensor, the mathematical descriptions of the imaging effect can be obtained by comparing the two mathematical descriptions. A concrete analysis of the imaging effect based on pinhole imaging and lens imaging is carried out. The results show that the primary cause of the imaging effect is the imaging optical axis angle while the subsidiary cause is the imaging zenith angle, and the influence of the subsidiary cause is determined by the difference between the imaging optical axis angle and the imaging zenith angle.
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Keywords:
- radiation measurement /
- radiation thermometry /
- the imaging effect
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[10] Fu T R, Zhao H, Zeng J, Wang Z, Zhong M H, Shi C L 2010 Appl. Opt. 49 5997
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[12] Fu T R, Yang Z J, Wang L P, Cheng X F, Zhong M H, Shi C L 2010 Opt. Laser Technol. 42 586
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[20] Zhang Y C, Qi Y D, Fu X B 2011 Spectrosc. Spectr. Anal. 31 3236 (in Chinese) [张玉存, 齐艳德, 付献斌2011 光谱学与光谱分析 31 3236]
[21] Fu T R, Cheng X F, Yang Z J 2008 Appl. Opt. 47 6122
[22] Fu T R, Zhao H, Zeng J, Zhong M H, Shi C L 2010 Rev. Sci. Instrum. 81 124903
[23] Xin C Y, Cheng X F, Zhang Z Z 2012 Spectrosc. Spectr. Anal. 32 2735 (in Chinese) [辛成运, 程晓舫, 张忠政2012 光谱学与光谱分析 32 2735]
[24] Incropera F P, DeWitt D P, Bergman T L, Lavine A S (Translated by Ge X S, Ye H) 2007 Fundamentals of Heat and Mass Transfer (6th Ed.) (Beijing: Chemical Industry Press) p445 (in Chinese) [Incropera F P, DeWitt D P, Bergman T L, Lavine A S 著 (葛新石, 叶宏 译) 2007传热和传质基本原理 (第六版) (北京: 化工出版社)第445页]
[25] Department of Mathematics of ECNU 2010 Mathematical Analysis Vol. 2 (4th Ed.) (Beijing: Higher Education Press) p230 (in Chinese) [华东师范大学数学系 2010 数学分析 (下册) (第四版) (北京: 高等教育出版社) 第230页].
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[1] Aplin K L, McPheat R A 2008 Rew. Sci. Instrum. 79 106107
[2] Garnier A, Pelon J, Dubuisson P, Faivre M, Chomette O, Pascal N, Kratz D P 2012 J. Appl. Meteorol. Clim. 51 1047
[3] Jones R, Krishnapillai M, Cairns K, Matthews N 2010 Fatigue Fract. Eng. Mater. 33 871
[4] Gao P T, Zhang Q C, Fu S H, Hu Q, Gao Y 2010 Acta Phys. Sin. 59 458 (in Chinese) [曹鹏涛, 张青川, 符师桦, 胡琦, 高云 2010 物理学报 59 458]
[5] Asatryan R S, Epremian R A, Gevorkyan H G, Mkrtchyan A G, Msryan G K, Sardaryan T V, Skvortsov Y E, Vardumyan Z A 2003 Int. J. Infrared Milli. 24 1035
[6] Barducci A, Benvenuti M, Bonora L, Castagnoli F, Guzzi D, Marcoionni P, Pippi I 2006 Ann. Geophys. 49 305
[7] Ghulam A, Li Z L, Qin Q M, Tong Q X, Wang J H, Kasimu A, Zhu L 2007 Sci. China D 50 1359
[8] Zhang L, Zhang B, Chen Z C, Zheng L F, Tong Q X 2009 Acta Oceanol. Sin. 28 1
[9] Oppelt N, Mauser W 2004 Int. J. Remote Sens. 25 145
[10] Fu T R, Zhao H, Zeng J, Wang Z, Zhong M H, Shi C L 2010 Appl. Opt. 49 5997
[11] Li W H, Lou C, Sun Y P, Zhou H C 2011 Exp. Therm. Fluid Sci. 35 416
[12] Fu T R, Yang Z J, Wang L P, Cheng X F, Zhong M H, Shi C L 2010 Opt. Laser Technol. 42 586
[13] Zhang X Y, Cheng Q A, Lou C, Zhou H C 2011 P. Combust. Inst. 33 2755
[14] Fu T R, Wang Z, Cheng X F 2010 J. Heat Trans. T. ASME 132 051602
[15] Coates P B 1981 Metrologia 17 103
[16] Saunders P 1997 Metrologia 34 201
[17] Sun X G, Dai J M, Cong D C, Chu Z X 1998 J. Infrared Millim. W. 17 221 (in Chinese) [孙晓刚, 戴景民, 丛大成, 褚载祥 1998 红外与毫米波学报 17 221]
[18] Tschudi H R, Schubnell M 1999 Rev. Sci. Instrum. 70 2719
[19] Yang C L, Dai J M, Hu Y 2003 Chin. Phys. Lett. 20 1685
[20] Zhang Y C, Qi Y D, Fu X B 2011 Spectrosc. Spectr. Anal. 31 3236 (in Chinese) [张玉存, 齐艳德, 付献斌2011 光谱学与光谱分析 31 3236]
[21] Fu T R, Cheng X F, Yang Z J 2008 Appl. Opt. 47 6122
[22] Fu T R, Zhao H, Zeng J, Zhong M H, Shi C L 2010 Rev. Sci. Instrum. 81 124903
[23] Xin C Y, Cheng X F, Zhang Z Z 2012 Spectrosc. Spectr. Anal. 32 2735 (in Chinese) [辛成运, 程晓舫, 张忠政2012 光谱学与光谱分析 32 2735]
[24] Incropera F P, DeWitt D P, Bergman T L, Lavine A S (Translated by Ge X S, Ye H) 2007 Fundamentals of Heat and Mass Transfer (6th Ed.) (Beijing: Chemical Industry Press) p445 (in Chinese) [Incropera F P, DeWitt D P, Bergman T L, Lavine A S 著 (葛新石, 叶宏 译) 2007传热和传质基本原理 (第六版) (北京: 化工出版社)第445页]
[25] Department of Mathematics of ECNU 2010 Mathematical Analysis Vol. 2 (4th Ed.) (Beijing: Higher Education Press) p230 (in Chinese) [华东师范大学数学系 2010 数学分析 (下册) (第四版) (北京: 高等教育出版社) 第230页].
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